A Unique Bifurcation Structure in One-Dimensional Model of Current-Controlled Step-Up DC–DC Converter with Photovoltaic Module

In this study, the first step we investigate the bifurcation phenomenon in a current-controlled step-up DC–DC converter with photovoltaic (PV) module using a one-dimensional circuit model. Specifically, we analyze the occurrence of the bifurcation phenomenon in this circuit model by defining the output voltage of the converter as constant and utilizing a PV module nonlinear output model with a relatively small number of parameters. Our results reveal the existence of a unique bifurcation structure in DC–DC converters with PV module, which has not been previously reported. We further elucidate the mechanism of occurrence through a stability analysis based on the brute-force method. The findings of this study contribute significantly to the development of circuit and bifurcation theory for current-controlled step-up DC–DC converters with PV module.